SOLUTION: 8(x-5)/3= 2(x-4) i need help solving this and if you could break it down step by step for me please the answer is suppose to be x=8

Algebra ->  Equations -> SOLUTION: 8(x-5)/3= 2(x-4) i need help solving this and if you could break it down step by step for me please the answer is suppose to be x=8      Log On


   

Question 394737: 8(x-5)/3= 2(x-4) i need help solving this and if you could break it down step by step for me please
the answer is suppose to be x=8
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

8%28x-5%29%2F3=+2%28x-4%29.....both sides multiply by 3
3%2A8%28x-5%29%2F3=+3%2A2%28x-4%29
cross%283%29%2A8%28x-5%29%2Fcross%283%29=+6%28x-4%29
8%28x-5%29=+6%28x-4%29
8x+-40+=+6x-24.......add -6x to both sides
8x+-40+-+6x+=+6x+-+6x+-24

8x+-40+-+6x+=+cross%286x+%29-+cross%286x%29+-24

2x+-40++=+-24....add 40 to both sides

2x+-40+%2B+40+=+-24+%2B+40

2x+-cross%2840%29+%2Bcross%28+40+%29=+-24+%2B+40

2x++=+16

x++=+16%2F2
x++=+8